Title :
Matrix calculus and the sensitivity analysis of linear dynamic systems
Author_Institution :
University of California, Davis, CA, USA
fDate :
8/1/1978 12:00:00 AM
Abstract :
The formulas for the derivatives of state transition matrices [3], [8] are extended in this note. The great usefulness of the matrix calculus [10], [12] is then demonstrated with alternative derivations of results in the theory of sensitivity analysis [8], [14] which are shorter and simpler than the original developments. It is anticipated that the formulas derived herein will be applied to parameter identification and feedback design methodologies.
Keywords :
Differentiation; Linear systems, time-invariant continuous-time; Linear systems, time-invariant discrete-time; Matrix functions; Sensitivity analysis; Calculus; Convolution; Eigenvalues and eigenfunctions; Jacobian matrices; Laplace equations; Linear systems; Mechanical engineering; Polynomials; Regulators; Sensitivity analysis;
Journal_Title :
Automatic Control, IEEE Transactions on
DOI :
10.1109/TAC.1978.1101817
